2(x-3)=-7(1-x)

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Solution for 2(x-3)=-7(1-x) equation:


Simplifying
2(x + -3) = -7(1 + -1x)

Reorder the terms:
2(-3 + x) = -7(1 + -1x)
(-3 * 2 + x * 2) = -7(1 + -1x)
(-6 + 2x) = -7(1 + -1x)
-6 + 2x = (1 * -7 + -1x * -7)
-6 + 2x = (-7 + 7x)

Solving
-6 + 2x = -7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-6 + 2x + -7x = -7 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-6 + -5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -5x = -7 + 0
-6 + -5x = -7

Add '6' to each side of the equation.
-6 + 6 + -5x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -7 + 6
-5x = -7 + 6

Combine like terms: -7 + 6 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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